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sergiy2304 [10]
3 years ago
14

If an object is thrown upward with an initial velocity of 128 ​ft/second, then its height after t seconds is given by the follow

ing equation. h equals 128 t minus 32 t squared a. Find the maximum height attained by the object. b. Find the number of seconds it takes the object to hit the ground.
Physics
1 answer:
IrinaK [193]3 years ago
3 0

Answer:

The maximum height attained by the object and the number of seconds are 128 ft and 4 sec.

Explanation:

Given that,

Initial velocity u= 128 ft/sec

Equation of height

h = 128t-32t^2....(I)

(a). We need to calculate the maximum height

Firstly we need to calculate the time

\dfrac{dh}{dt}=0

From equation (I)

\dfrac{dh}{dt}=128-64t

128-64t=0

t=\dfrac{128}{64}

t=2\ sec

Now, for maximum height

Put the value of t in equation (I)

h =128\times2-32\times4

h=128\ ft

(b). The number of seconds it takes the object to hit the ground.

We know that, when the object reaches ground the height becomes zero

128t-32t^2=0

t(128-32t)=0

128=32t

t=4\ sec

Hence, The maximum height attained by the object and the number of seconds are 128 ft and 4 sec.

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